On the Kodaira dimension of Hurwitz spaces

DOI10.1007/s00209-021-02882-9zbMath1484.14061arXiv2101.12264OpenAlexW3205958149MaRDI QIDQ2118188

Scott Mullane, Gavril Farkas

Publication date: 22 March 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.12264

zbMATH Keywords

Hurwitz spacesKodaira-Iitaka dimensionDivisors

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Coverings of curves, fundamental group (14H30) Families, moduli of curves (analytic) (14H15)

Uses Software

• MatFacCurvesP4
• 6gonal.m2

Cites Work

• The universal theta divisor over the moduli space of curves
• Isomonodromic tau function on the space of admissible covers
• The Kodaira dimension of the moduli space of curves of genus \(\geq 23\)
• Calculating cohomology groups of moduli spaces of curves via algebraic geometry
• Matrix factorizations and curves in \(\mathbb{P}^4\)
• The Hodge bundle on Hurwitz spaces
• On the Kodaira dimension of the moduli space of curves
• The unirationality of Hurwitz spaces of 6-gonal curves of small genus
• Twisted Bundles and Admissible Covers
• The Kodaira dimension of moduli spaces of curves with marked points
• Quadric ramk loci on moduli of curves and K3 surfaces
• Independence of boundary divisors in the space of admissible covers

This page was built for publication: On the Kodaira dimension of Hurwitz spaces